The measures are: ∠ 1 = 80°, ∠ 2 = 57°, ∠ 3 = 57°, ∠ 4 = 43°, ∠ 5 = 137° and ∠ 6 = 123°
An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays.
Given is a figure, (refer to figure attached)
1) ∠ 1 = 80° (vertically opposite angles)
2) 43°+∠ 1 + ∠ 2 = 180° (linear pair)
∠ 2 = 180°-(43+80)
∠ 2 = 57°
3) ∠ 3 = ∠ 7 (alternate interior angles)
∠ 7 = ∠ 2 (vertically opposite angles)
∠ 3 = ∠ 2 (transitive property)
∠ 3 = 57°
4) ∠ 4 = ∠ 8 (alternate interior angle)
∠ 8 = 43° (vertically opposite angles)
∠ 4 = 43° (transitive property)
5) ∠ 5 = ∠ 1 + ∠ 2 (corresponding angles)
∠ 5 = 137°
6) ∠ 6 = 80° + ∠ 8 (corresponding angles)
∠ 6 = 80° + 43°
∠ 6 = 123°
Hence, The measures are: ∠ 1 = 80°, ∠ 2 = 57°, ∠ 3 = 57°, ∠ 4 = 43°, ∠ 5 = 137° and ∠ 6 = 123°
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m<1= 80 due to the Corresponding Angles Postulate.
m<2= 360-(80+80)-(43+43) = 360-246 = 114/2 = 57
m<3= 57
m<4= 57+80+x = 180 ---> 137+x = 180 ---> x = 43
m<5= 180-43 = 137
m<6= 180-57 = 123
Answer:
A square is a quadrilateral with all sides equal in length and all interior angles right angles. Thus a rhombus is not a square unless the angles are all right angles. A square however is a rhombus since all four of its sides are of the same length.
Step-by-step explanation:
Hope thats helpful! :)
you can find the answer to this by looking at the properties of both shapes. a rhombus has Opposite sides that are parallel, Adjacent angles are supplementary, All the four sides are equal, and all 4 sides bisect forming right angles. a square also has these properties therefore a square can classify as a rhombus. but be careful, just because a square is a rhombus, it doesn't always necessary mean that a rhombus is always a square
Sierra’s cousins: 2, 11, 12, 13, 15
Alek’s cousins: 9, 11, 11, 12, 13
Which of the following statements is true?
A.For both sets of data, the median is equal to the mean.
B.The ages of Sierra's cousins are more spread out than those of Alek's cousins.
C.The mean age of Sierra's cousins is greater than that of Alek's cousins.
D.There are no outliers.
Answer: B: The ages of Sierra's cousins are more spread out than those of Alek's cousin.
2x-4=5* u need at least 20 characters
After the unit conversion of the given data, its height of Suzanne will be equal to 5 feet 4 inches.
Multiplying or dividing by a numeric number, or more specifically, a correction factor is a procedure comprising several steps known as conversion. Rounding and choosing the appropriate number of significant digits may also be necessary steps in the procedure.
As per the data available in the question,
As we know,
1 foot = 12 inches
64 ÷ 12 = 5 Feet
And the remainder is 4 which means that an extra 4 inches
So, her height must be 5 feet and 4 inches.
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There's 12 inches in 1 foot.
64 ÷ 12 = 5 with a remainder of 4
Suzanne is 5 foot 4 inches.
Hope this helps.